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Spatial structures can form in stochastic dynamic systems due to near-zero-probability events (comment on “21st century: what is life from the perspective of physics?” (Usp. Fiz. Nauk 180 337 (2010) [Phys. Usp. 53 327 (2010)]) by G R Ivanitskii)


A M Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow, 109017, Russian Federation

This letter is aimed to briefly highlight the fact that, along with many probabilistic models (including the random graphs and chains currently in wide use), there is a direct universal approach to describing the formation of stochastic structures with probability unity in random media (in ’chaos’), i.e., in almost all random field realizations. The mathematical level adopted is accessible to early undergraduate students. It can thus be concluded that clustering in chaos is not only a physical phenomenon but also a universal phenomenon inherent in nature—with some provisos, of course.

Fulltext is available at IOP
PACS: 05.45.−a, 05.65.+b, 87.23.Kg (all)
DOI: 10.3367/UFNe.0182.201211k.1235
URL: https://ufn.ru/en/articles/2012/11/j/
Citation: Klyatskin V I "Spatial structures can form in stochastic dynamic systems due to near-zero-probability events (comment on "21st century: what is life from the perspective of physics?" (Usp. Fiz. Nauk 180 337 (2010) [Phys. Usp. 53 327 (2010)]) by G R Ivanitskii)" Phys. Usp. 55 1152–1154 (2012)
BibTexBibNote ® (generic)BibNote ® (RIS) MedlineRefWorks
PT Journal Article
TI Spatial structures can form in stochastic dynamic systems due to near-zero-probability events (comment on "21st century: what is life from the perspective of physics?" (Usp. Fiz. Nauk  180 337 (2010) [Phys. Usp. 53 327 (2010)]) by G R Ivanitskii)
AU Klyatskin V I
FAU Klyatskin VI
DP 10 Nov, 2012
TA Phys. Usp.
VI 55
IP 11
PG 1152-1154
RX 10.3367/UFNe.0182.201211k.1235
URL https://ufn.ru/en/articles/2012/11/j/
SO Phys. Usp. 2012 Nov 10;55(11):1152-1154

Received: 10th, June 2011, 9th, April 2012

Оригинал: Кляцкин В И «В стохастических динамических системах могут образовываться пространственные структуры, благодаря событиям, происходящим с вероятностью, стремящейся к нулю (Комментарий к статье Г.Р. Иваницкого ’XXI век: что такое жизнь с точки зрения физики" [УФН 180 337 2010])» УФН 182 1235–1237 (2012); DOI: 10.3367/UFNr.0182.201211k.1235

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